Triple output photodetector current replicator

ABSTRACT

Methods and systems for replicating current outputs from a photodetector include using a transimpedance (TIA) amplifier to directly generate a TIA output voltage that is linear with optical power at the photodetector. Additionally, a first logarithmic amplifier is used to generate a first output voltage from the photodetector current and a second logarithmic amplifier is used to generate a second voltage from a copy of the photodetector current. The first voltage and the second voltage may be linear in some cases with the optical power in decibels.

BACKGROUND

Field of the Disclosure

The present disclosure relates generally to optical communication networks and, more particularly, to a triple output photodetector current replicator.

Description of the Related Art

Telecommunication, cable television and data communication systems use optical networks to rapidly convey large amounts of information between remote points. In an optical network, information is conveyed in the form of optical signals through optical fibers. Optical networks may also include various network elements, such as amplifiers, dispersion compensators, multiplexer/demultiplexer filters, wavelength selective switches, optical switches, couplers, etc. configured to perform various operations within the network.

In particular, optical networks may be reconfigured to transmit different individual channels using, for example, optical add-drop multiplexers (OADMs). In this manner, individual channels (e.g., wavelengths) may be added or dropped at various points along an optical network, enabling a variety of network configurations and topologies. However, such network reconfiguration events may result in power transients among the surviving channels. In particular, steady-state gain offset as a result of network reconfiguration may result in undesired variations in signal power and optical signal to noise ratio (OSNR) in an optical network.

SUMMARY

In one aspect, a disclosed method is for current replication. The method may include receiving, at a photodetector, an optical signal having a plurality of wavelengths and an optical power. Responsive to the optical signal received, the method may include generating a photodetector current at the photodetector. In the method, the photodetector may be reverse biased with a bias voltage. The method may further include outputting the photodetector current from an anode of the photodetector to a first logarithmic amplifier to generate a first output voltage that is linear with the optical power in decibels (dB). The method may also include generating a copy current using a transimpedance amplifier (TIA) having a first feedback resistor and a second feedback resistor. In the method, a negative terminal of the transimpedance amplifier may be a cathode of the photodetector, and a TIA output voltage that is linear with the optical power may be generated. The method may still further include outputting the copy current from a positive terminal of the transimpedance amplifier to a second logarithmic amplifier to generate a second voltage that is linear with the optical power in dB.

In any of the disclosed embodiments of the method, the photodetector may be a photodiode. In any of the disclosed embodiments of the method, a ratio of the first feedback resistor to the second feedback resistor may scale the copy current with respect to the photodetector current. In the method, when the first feedback resistor equals the second feedback resistor, the copy current may equal the photodetector current.

In any of the disclosed embodiments, the method may include applying a correction current at the anode of the photodetector to offset the first voltage. In the method, the correction current may not affect the TIA output voltage and may not affect the second voltage.

In any of the disclosed embodiments of the method, the bias voltage may be a differential voltage, while the method may include applying a negative pole of the bias voltage to a reference voltage input at the first logarithmic amplifier, and applying a positive pole of the bias voltage to a reference voltage input at the second logarithmic amplifier.

In another aspect, a disclosed circuit is a photodetector current replicator circuit. The circuit may include a photodetector for receiving an optical signal having a plurality of wavelengths and an optical power. In the circuit, the photodetector generates a photodetector current when reverse biased with a bias voltage. The circuit may further include a first logarithmic amplifier for receiving the photodetector current from an anode of the photodetector and generating a first output voltage that is linear with the optical power in decibels (dB). The circuit may also include a transimpedance amplifier (TIA) to generate a copy current and having a first feedback resistor and a second feedback resistor. In the circuit, a negative terminal of the transimpedance amplifier may be a cathode of the photodetector, and a TIA output voltage that is linear with the optical power may be generated. The circuit may still further include a second logarithmic amplifier for receiving the copy current from a positive terminal of the transimpedance amplifier and generating a second voltage that is linear with the optical power in dB.

In any of the disclosed embodiments of the circuit, the photodetector may be a photodiode. In any of the disclosed embodiments of the circuit, a ratio of the first feedback resistor to the second feedback resistor may scale the copy current with respect to the photodetector current. In the circuit, when the first feedback resistor equals the second feedback resistor, the copy current may equal the photodetector current.

In any of the disclosed embodiments, the circuit may include a correction current applied at the anode of the photodetector to offset the first voltage. In the circuit, the correction current may not affect the TIA voltage and may not affect the second voltage.

In any of the disclosed embodiments of the circuit, the bias voltage may be a differential voltage, while a negative pole of the bias voltage may be applied to a reference voltage input at the first logarithmic amplifier, and a positive pole of the bias voltage may be applied to a reference voltage input at the second logarithmic amplifier.

Additional disclosed aspects of a triple output photodetector current replicator include an optical communication system and an optical amplifier used in the optical communication system, as described herein.

BRIEF DESCRIPTION OF THE DRAWINGS

For a more complete understanding of the present invention and its features and advantages, reference is now made to the following description, taken in conjunction with the accompanying drawings, in which:

FIG. 1 is a block diagram of selected elements of an embodiment of an optical network;

FIG. 2 is a block diagram of selected elements of an embodiment of a triple output photodetector current replicator; and

FIG. 3 is a flow diagram of selected elements of an embodiment of a method for triple output photodetector current replication.

DESCRIPTION OF PARTICULAR EMBODIMENT(S)

In the following description, details are set forth by way of example to facilitate discussion of the disclosed subject matter. It should be apparent to a person of ordinary skill in the field, however, that the disclosed embodiments are exemplary and not exhaustive of all possible embodiments.

Throughout this disclosure, a hyphenated form of a reference numeral refers to a specific instance of an element and the un-hyphenated form of the reference numeral refers to the element generically or collectively. Thus, as an example (not shown in the drawings), widget “12-1” refers to an instance of a widget class, which may be referred to collectively as widgets “12” and any one of which may be referred to generically as a widget “12”. In the figures and the description, like numerals are intended to represent like elements.

Turning now to the drawings, FIG. 1 illustrates an example embodiment of optical network 101, which may represent an optical communication system. Optical network 101 may include one or more optical fibers 106 configured to transport one or more optical signals communicated by components of optical network 101. The network elements of optical network 101, coupled together by fibers 106, may comprise one or more transmitters 102, one or more multiplexers (MUX) 104, one or more optical amplifiers 108, one or more optical add/drop multiplexers (OADM) 110, one or more demultiplexers (DEMUX) 105, and one or more receivers 112.

Optical network 101 may comprise a point-to-point optical network with terminal nodes, a ring optical network, a mesh optical network, or any other suitable optical network or combination of optical networks. Optical fibers 106 comprise thin strands of glass capable of communicating the signals over long distances with very low loss. Optical fibers 106 may comprise a suitable type of fiber selected from a variety of different fibers for optical transmission.

Optical network 101 may include devices configured to transmit optical signals over optical fibers 106. Information may be transmitted and received through optical network 101 by modulation of one or more wavelengths of light to encode the information on the wavelength. In optical networking, a wavelength of light may also be referred to as a channel. Each channel may be configured to carry a certain amount of information through optical network 101.

To increase the information capacity and transport capabilities of optical network 101, multiple signals transmitted at multiple channels may be combined into a single wideband optical signal. The process of communicating information at multiple channels is referred to in optics as wavelength division multiplexing (WDM). Coarse wavelength division multiplexing (CWDM) refers to the multiplexing of wavelengths that are widely spaced having low number of channels, usually greater than 20 nm and less than sixteen wavelengths, and dense wavelength division multiplexing (DWDM) refers to the multiplexing of wavelengths that are closely spaced having large number of channels, usually less than 0.8 nm spacing and greater than forty wavelengths, into a fiber. WDM or other multi-wavelength multiplexing transmission techniques are employed in optical networks to increase the aggregate bandwidth per optical fiber. Without WDM, the bandwidth in optical networks may be limited to the bit-rate of solely one wavelength. With more bandwidth, optical networks are capable of transmitting greater amounts of information. Optical network 101 may be configured to transmit disparate channels using WDM or some other suitable multi-channel multiplexing technique, and to amplify the multi-channel signal.

Optical network 101 may include one or more optical transmitters (Tx) 102 configured to transmit optical signals through optical network 101 in specific wavelengths or channels. Transmitters 102 may comprise a system, apparatus or device configured to convert an electrical signal into an optical signal and transmit the optical signal. For example, transmitters 102 may each comprise a laser and a modulator to receive electrical signals and modulate the information contained in the electrical signals onto a beam of light produced by the laser at a particular wavelength, and transmit the beam for carrying the signal throughout optical network 101.

Multiplexer 104 may be coupled to transmitters 102 and may be a system, apparatus or device configured to combine the signals transmitted by transmitters 102, e.g., at respective individual wavelengths, into a WDM signal.

Optical amplifiers 108 may amplify the multi-channeled signals within optical network 101. Optical amplifiers 108 may be positioned before and after certain lengths of fiber 106. Optical amplifiers 108 may comprise a system, apparatus, or device configured to amplify optical signals. For example, optical amplifiers 108 may comprise an optical repeater that amplifies the optical signal. This amplification may be performed with opto-electrical or electro-optical conversion. In some embodiments, optical amplifiers 108 may comprise an optical fiber doped with a rare-earth element to form a doped fiber amplification element. When a signal passes through the fiber, external energy may be applied in the form of a pump signal to excite the atoms of the doped portion of the optical fiber, which increases the intensity of the optical signal. As an example, optical amplifiers 108 may comprise an erbium-doped fiber amplifier (EDFA).

OADMs 110 may be coupled to optical network 101 via fibers 106. OADMs 110 comprise an add/drop module, which may include a system, apparatus or device configured to add or drop optical signals (i.e., at individual wavelengths) from fibers 106. After passing through an OADM 110, an optical signal may travel along fibers 106 directly to a destination, or the signal may be passed through one or more additional OADMs 110 and optical amplifiers 108 before reaching a destination.

In certain embodiments of optical network 101, OADM 110 may represent a reconfigurable OADM (ROADM) that is capable of adding or dropping individual or multiple wavelengths of a WDM signal. The individual or multiple wavelengths may be added or dropped in the optical domain, for example, using a wavelength selective switch (WSS) (not shown) that may be included in a ROADM.

As shown in FIG. 1, optical network 101 may also include one or more demultiplexers 105 at one or more destinations of network 101. Demultiplexer 105 may comprise a system apparatus or device that acts as a demultiplexer by splitting a single composite WDM signal into individual channels at respective wavelengths. For example, optical network 101 may transmit and carry a forty (40) channel DWDM signal. Demultiplexer 105 may divide the single, forty channel DWDM signal into forty separate signals according to the forty different channels.

In FIG. 1, optical network 101 may also include receivers 112 coupled to demultiplexer 105. Each receiver 112 may be configured to receive optical signals transmitted at a particular wavelength or channel, and may process the optical signals to obtain (e.g., demodulate) the information (i.e., data) that the optical signals contain. Accordingly, network 101 may include at least one receiver 112 for every channel of the network.

Optical networks, such as optical network 101 in FIG. 1, may employ modulation techniques to convey information in the optical signals over the optical fibers. Such modulation schemes may include phase-shift keying (PSK), frequency-shift keying (FSK), amplitude-shift keying (ASK), and quadrature amplitude modulation (QAM), among other examples of modulation techniques. In PSK, the information carried by the optical signal may be conveyed by modulating the phase of a reference signal, also known as a carrier wave, or simply, a carrier. The information may be conveyed by modulating the phase of the signal itself using two-level or binary phase-shift keying (BPSK), four-level or quadrature phase-shift keying (QPSK), multi-level phase-shift keying (M-PSK) and differential phase-shift keying (DPSK). In QAM, the information carried by the optical signal may be conveyed by modulating both the amplitude and phase of the carrier wave. PSK may be considered a subset of QAM, wherein the amplitude of the carrier waves is maintained as a constant. Additionally, polarization division multiplexing (PDM) technology may enable achieving a greater bit rate for information transmission. PDM transmission comprises modulating information onto various polarization components of an optical signal associated with a channel. The polarization of an optical signal may refer to the direction of the oscillations of the optical signal. The term “polarization” may generally refer to the path traced out by the tip of the electric field vector at a point in space, which is perpendicular to the propagation direction of the optical signal.

In an optical network, such as optical network 101 in FIG. 1, it is typical to refer to a management plane, a control plane, and a transport plane (sometimes called the physical layer). A central management host (not shown) may reside in the management plane and may configure and supervise the components of the control plane. The management plane includes ultimate control over all transport plane and control plane entities (e.g., network elements). As an example, the management plane may consist of a central processing center (e.g., the central management host), including one or more processing resources, data storage components, etc. The management plane may be in electrical communication with the elements of the control plane and may also be in electrical communication with one or more network elements of the transport plane. The management plane may perform management functions for an overall system and provide coordination between network elements, the control plane, and the transport plane. As examples, the management plane may include an element management system (EMS), which handles one or more network elements from the perspective of the elements, a network management system (NMS), which handles many devices from the perspective of the network, and an operational support system (OSS), which handles network-wide operations.

Modifications, additions or omissions may be made to optical network 101 without departing from the scope of the disclosure. For example, optical network 101 may include more or fewer elements than those depicted in FIG. 1. Also, as mentioned above, although depicted as a point-to-point network, optical network 101 may comprise any suitable network topology for transmitting optical signals such as a ring, a mesh, or a hierarchical network topology.

As discussed above, the amount of information that may be transmitted over an optical network may vary with the number of optical channels coded with information and multiplexed into one signal. Accordingly, an optical fiber employing a WDM signal may carry more information than an optical fiber that carries information over a single channel. Besides the number of channels and number of polarization components carried, another factor that affects how much information can be transmitted over an optical network may be the bit rate of transmission. The higher the bit rate, the greater the transmitted information capacity. Achieving higher bit rates may be limited by the availability of wide bandwidth electrical driver technology, digital signal processor technology and increase in the required OSNR for transmission over optical network 101.

In operation of optical network 101, reconfiguration of the optical signals to add or drop individual channels may be performed at OADMs 110. Under such add/drop cases, the surviving channels may systematically be subjected to power transients that result in under gain or over gain. The under or over gain of the surviving channels may accumulate rapidly along cascaded optical amplifiers 108 as this transient gain offset may lead to undesirable variation in output signal power and received OSNR. In particular, as higher bit rates, for example up to 100 gigabits per second, are used for transmission over optical network 101, the received OSNR to achieve such higher bit rates may be reduced due to transient gain (TG) effects. In addition to network throughput, variation in OSNR due to transient gain effects may constrain a transmission distance (i.e., reach) of at least certain portions of optical network 101.

In optical network 101, TG effects may be compensated or minimized dynamically using fast loop control, for example, in optical amplifiers 108. However, in typical optical amplifiers, fast loop control may be limited by the bandwidth response of certain components and signal levels. Specifically, the optical amplifier may include respective optical taps at an optical input and at an optical output for measuring input signal levels and output signal levels in order to regulate the gain of the optical amplifier. The optical taps enable a photodetector, such as a photodiode, to generate an electrical signal indicative of the signal level (or optical power level).

In a typical optical amplifier, the outputs of the photodetectors may be fed to different elements and in some cases, multiple current outputs are used for various purposes, such as gain control regulation. Additional voltage outputs that are indicative of the output photodetector current may also be used for various purposes in an optical amplifier. In some embodiments, the photodetector current is fed directly into a logarithmic amplifier (also referred to as a “log amp”) to generate a voltage that is linear in decibels (dB) with the output photodetector current. Because the optical amplifier generally is used to increase the signal power, a current level at an input of the optical amplifier may be smaller than a current level at an output of the optical amplifier. To generate the multiple current outputs, a current replicator (sometimes referred to as a current mirror) is used. However, typical current replicators may come with certain disadvantages when used in an optical amplifier. Specifically, typical current replicators may not exhibit sufficient bandwidth at low input currents for gain regulation in an optical amplifier where currents as low as 100 nA may occur and where gain regulation bandwidth may be desired at 1 MHz or greater.

As will be described in further detail herein, a triple output photodetector current replicator is disclosed that enables generation of two independent current sources. The triple output photodetector current replicator disclosed herein may enable a reverse biasing of a photodetector while generating the two independent output currents. The triple output photodetector current replicator disclosed herein may enable independent manipulation, such as biasing, offsetting, compensation, adding, subtracting, etc., of the two independent output currents of the photodetector current. The triple output photodetector current replicator disclosed herein may provide a first voltage output and a second voltage output that are respectively linear in dB with the two independent output currents. The triple output photodetector current replicator disclosed herein may also provide a third voltage output that is linear with the photodetector current.

Turning now to FIG. 2, an example embodiment of triple output photodetector current replicator 200 is illustrated in block diagram format. As shown, triple output photodetector current replicator 200 may be used in an embodiment of optical amplifier 108 (see FIG. 1). Optical amplifier 108 may be based on a doped fiber amplification element, such as an erbium doped fiber, and may include a gain control circuit that includes triple output photodetector current replicator 200.

As shown in FIG. 2, triple output photodetector current replicator 200 may represent an electronic device comprising various components and signals between the components, which is shown as a schematic circuit diagram. It is noted that arrows depicted in signal lines in FIG. 2 are intended to show information flow and may not necessarily represent a direction of transmission of a corresponding signal media (e.g., transmission of an optical signal or an electrical current). As shown, photodetector 220 is a photodiode that is reverse biased. However, other types of photodetectors and bias arrangements may be used in various embodiments.

In FIG. 2, triple output photodetector current replicator 200 may be biased by applying V_(−bias) and V_(+bias) to respective reference voltage inputs (V_(REF)) of log amp 210-1 and 210-2. In log amps 210, the voltage applied to V_(REF) will also appear as a voltage at the current input I_(IN). As a result, V_(−bias) appears at node 214 (at current input I_(IN) of log amp 210-1/anode of photodetector 220), while V_(+bias) appears at positive terminal of a transimpedance amplifier 204 at node 218 (at current input I_(IN) of log amp 210-2), which is replicated at negative terminal of TIA 204 at node 212, and which reverse biases photodetector 220.

Then, triple output photodetector current replicator 200 may receive optical signal 206 at photodetector 220. Optical signal 206 may include a plurality of wavelengths and may exhibit an optical power that varies over time. The wavelengths in optical signal 206 may represent individual channels, as described previously. In various embodiments, optical signal 206 may be a WDM signal. Optical signal 206 may be diverted from a transmission line, such as by using an optical splitter or an optical tap (not shown). As photons from optical signal 206 reach photodetector 220 in the reverse biased state, a photodetector current I_(PD) 216-1 is generated. In other words, photodetector 220 operates as a current source while I_(PD) 216-1 carries signal information that is contained in optical signal 206. When optional correction current I_(CORR) 222-1 (shown as a dashed arrow) is not present, I_(PD) 216-1 flows via node 214 to current input I_(IN) of log amp 210-1, resulting in generation of a first voltage V₁ that is linear with optical signal 206 in dB. Concurrently, I_(PD) 216-1 flows at node 212 (the photodetector cathode/negative terminal to TIA amplifier 204) across resistor R1 resulting in generation of a TIA voltage V_(TIA) at an output terminal of transimpedance amplifier 204. Transimpedance amplifier 204 may be an operational amplifier that is configured as shown in FIG. 2. Furthermore, I_(PD) 216-1 is replicated across resistor R2 and at node 218 (positive terminal to TIA amplifier 204) a copy current I_(COPY) 216-2 is generated. When optional correction current I_(CORR) 222-2 (shown as a dashed arrow) is not present, I_(COPY) 216-2 flows to current input I_(IN) of log amp 210-2, resulting in generation of a second voltage V₂ that is linear with the optical power of optical signal 206 in dB.

In triple output photodetector current replicator 200, a ratio of R1 to R2 may be used to scale I_(PD) 216-1 with respect to I_(COPY) 216-2 since (I_(PD)*R1)=(I_(COPY)*R2)=V_(TIA). It will be understood that when R1 equals R2, then I_(PD) 216-1 equals I_(COPY) 216-2.

Furthermore, as a result of the circuit configuration of triple output photodetector current replicator 200, I_(PD) 216-1 and I_(COPY) 216-2 may be independently manipulated without affecting each other and without affecting TIA voltage V_(TIA). For example, I_(CORR) 222-1, which is an optional current, may be applied to node 214 without affecting I_(PD) 216-1 or I_(COPY) 216-2, but rather, only affects the current input I_(IN) at log amp 210-1. In this manner, I_(CORR) 222-1 may be used to generate a desired offset signal, for example, to compensate for amplified spontaneous emission (ASE) or other types of background noise or white noise. In another example, I_(CORR) 222-2, which is also an optional current, may be applied at node 218 without affecting I_(PD) 216-1 or I_(COPY) 216-2, but rather, only affects the current input I_(IN) at log amp 210-2.

Referring now to FIG. 3, a block diagram of selected elements of an embodiment of method 300 for triple output photodetector current replication is depicted in flowchart form. Method 300 may be performed using replicator circuit 200 (see FIG. 2), which may be employed in optical amplifier 108 (see FIG. 1). It is noted that certain operations described in method 300 may be optional or may be rearranged in different embodiments.

Method 300 may begin at step 302 by receiving, at a photodetector, an optical signal having a plurality of wavelengths and an optical power. At step 304, a photodetector current may be generated at the photodetector when the photodetector is reverse biased with a bias voltage. At step 306, the photodetector current may be output from an anode of the photodetector to a first logarithmic amplifier to generate a first output voltage that is linear with the optical power in dB. At step 308, a copy current may be generated using a transimpedance amplifier having a first feedback resistor and a second feedback resistor, such that a negative terminal of the transimpedance amplifier is a cathode of the photodetector, and a TIA output voltage (V_(TIA)) that is linear with the optical power is generated. At step 310, the copy current may be output from a positive terminal of the transimpedance amplifier to a second logarithmic amplifier to generate a second output voltage that is linear with the optical power in dB.

As disclosed herein, methods and systems for replicating current outputs from a photodetector include using a transimpedance (TIA) amplifier to directly generate a TIA voltage that is linear with optical power at the photodetector. Additionally, a first logarithmic amplifier is used to generate a first output voltage from the photodetector current and a second logarithmic amplifier is used to generate a second output voltage from a copy of the photodetector current. The first voltage and the second voltage may be linear in some cases with the optical power in decibels.

The above disclosed subject matter is to be considered illustrative, and not restrictive, and the appended claims are intended to cover all such modifications, enhancements, and other embodiments which fall within the true spirit and scope of the present disclosure. Thus, to the maximum extent allowed by law, the scope of the present disclosure is to be determined by the broadest permissible interpretation of the following claims and their equivalents, and shall not be restricted or limited by the foregoing detailed description. 

What is claimed is:
 1. A method for current replication, the method comprising: receiving, at a photodetector, an optical signal having a plurality of wavelengths and an optical power; responsive to the optical signal received, generating a photodetector current at the photodetector, wherein the photodetector is reverse biased with a bias voltage; outputting the photodetector current from an anode of the photodetector to a first logarithmic amplifier to generate a first output voltage that is linear with the optical power in decibels (dB); generating a copy current using a transimpedance amplifier (TIA) having a first feedback resistor and a second feedback resistor, wherein a negative terminal of the transimpedance amplifier is a cathode of the photodetector, and wherein a TIA output voltage that is linear with the optical power is generated; and outputting the copy current from a positive terminal of the transimpedance amplifier to a second logarithmic amplifier to generate a second voltage that is linear with the optical power in dB.
 2. The method of claim 1, wherein the photodetector is a photodiode.
 3. The method of claim 1, wherein a ratio of the first feedback resistor to the second feedback resistor scales the copy current with respect to the photodetector current.
 4. The method of claim 3, wherein, when the first feedback resistor equals the second feedback resistor, the copy current equals the photodetector current.
 5. The method of claim 1, further comprising: applying a correction current at the anode of the photodetector to offset the first voltage, wherein the correction current does not affect the TIA voltage and does not affect the second voltage.
 6. The method of claim 1, wherein the bias voltage is a differential voltage, and further comprising: applying a negative pole of the bias voltage to a reference voltage input at the first logarithmic amplifier; and applying a positive pole of the bias voltage to a reference voltage input at the second logarithmic amplifier.
 7. A photodetector current replicator circuit comprising: a photodetector for receiving an optical signal having a plurality of wavelengths and an optical power, wherein the photodetector generates a photodetector current when reverse biased with a bias voltage; a first logarithmic amplifier for receiving the photodetector current from an anode of the photodetector and generating a first output voltage that is linear with the optical power in decibels (dB); a transimpedance amplifier (TIA) to generate a copy current and having a first feedback resistor and a second feedback resistor, wherein a negative terminal of the transimpedance amplifier is a cathode of the photodetector, and wherein a TIA output voltage that is linear with the optical power is generated; and a second logarithmic amplifier for receiving the copy current from a positive terminal of the transimpedance amplifier and generating a second voltage that is linear with the optical power in dB.
 8. The circuit of claim 7, wherein the photodetector is a photodiode.
 9. The circuit of claim 7, wherein a ratio of the first feedback resistor to the second feedback resistor scales the copy current with respect to the photodetector current.
 10. The circuit of claim 9, wherein, when the first feedback resistor equals the second feedback resistor, the copy current equals the photodetector current.
 11. The circuit of claim 8, further comprising: a correction current applied at the anode of the photodetector to offset the first voltage, wherein the correction current does not affect the TIA output voltage and does not affect the second voltage.
 12. The circuit of claim 8, wherein the bias voltage is a differential voltage, and wherein: a negative pole of the bias voltage is applied to a reference voltage input at the first logarithmic amplifier; and a positive pole of the bias voltage is applied to a reference voltage input at the second logarithmic amplifier. 